Tame Topology over Definable Uniform Structures-Reference-Cited by-同舟云学术

Tame Topology over Definable Uniform Structures

Published:2022-02-01 Issue:1 Volume:63 Page:
ISSN:0029-4527
Container-title:Notre Dame Journal of Formal Logic
language:
Short-container-title:Notre Dame J. Formal Logic

Author:

Dolich Alfred¹,Goodrick John²

Affiliation:

1. Department of Mathematics and Computer Science, Kingsborough Community College, Brooklyn, New York, USA, and Department of Mathematics, The Graduate Center (CUNY), New York, New York, USA

2. Departamento de Matemáticas, Universidad de los Andes, Bogotá, Colombia

Publisher

Duke University Press

Subject

Logic

Reference23 articles.

1. Aschenbrenner M., L. van den Dries, and J. van der Hoeven, Asymptotic Differential Algebra and Model Theory of Transseries, volume 195 of Annals of Mathematical Studies. Princeton University Press, Princeton, 2017.

2. Cluckers, R., and I. Halupczok, “Quantifier elimination in ordered abelian groups.” Confluentes Mathematici, vol. 3 (2011), pp. 587–615.

3. Cubides-Kovacsics, P., L. Darnière, and E. Leenknegt, “Topological cell decomposition and dimension theory in p-minimal fields,” Journal of Symbolic Logic, vol. 82 (2017), pp. 347–58.

4. Denef, J., “p-adic semi-algebraic sets and cell decomposition,” Journal für die Reine und Angewandte Mathematik, vol. 369 (1986), 154–66.

5. Dolich, A., and J. Goodrick, “Strong theories of ordered abelian groups,” Fundamenta Mathematicae, vol. 23 (2017), pp. 269–96.

Cited by 4 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Uniform finiteness and viscerality;Bollettino dell'Unione Matematica Italiana;2024-01-27

2. Topologizing Interpretable Groups in p-Adically Closed Fields;Notre Dame Journal of Formal Logic;2023-11-01

3. Topological properties of definable sets in ordered Abelian groups of burden 2;Mathematical Logic Quarterly;2023-05

4. Hensel minimality II: Mixed characteristic and a diophantine application;Forum of Mathematics, Sigma;2023